2C+Asymptotes

Sabrina Lebron Assignment: ASYMPTOTES An asymptote is essentially, a line that a graph approaches but never intersects. A vertical asymptote, which is also a line that a graph approaches but never denominator of a fraction has gone to 0 but the top hasn't. For example: y=4/(x-2)



Problem: when x=2. What happens to this graph and why? Note as the graph approaches x=2. from the left the curve drops toward a negative infinity. This is because the numerator is staying at 4, and the denominator is getting close to 0. That means the fraction itself is getting r big and negative. When x is exactly 2, the function does not exist because you cannot divide by 0. After 2 it resumes at a positive infinity because the numerator is 4 and the denominator is again very tiny but positive.



 Marjorie G Moreno Asymptote is a line that a graph gets closer and closer to, but never touches or crosses it.